On the first eigenvalue of the Laplace operator for compact spacelike submanifolds in LorentzâMinkowski spacetime đm
DOI10.1017/prm.2021.5zbMath1496.53073arXiv1812.01349OpenAlexW3129732742MaRDI QIDQ5070596
Francisco J. Palomo, Alfonso Romero
Publication date: 13 April 2022
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.01349
integral formulaBeltrami equationspace-like submanifoldsmean curvature vector fieldcompact space-like submanifoldsfirst eigenvalue of the Laplace operator
Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
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